Three charges are located along y-axis with first -77 C charge at origin, second -100 C charge 2m above origin and third +50 C charge 3m below origin.
(a) What is the magnitude and direction of force exerted by second charge on first charge,
(b) what is the magnitude and direction of force exerted by third charge on first charge,
(c) What is the net force on first charge?
(d) If the third charge is replaced by an imaginary test charge find the magnitude and direction of electric field at its location due to first and second charges
Solution:
Let us name the charges as follows
The pictorial representation of the given problem is shown below
The force exerted by the charge on can be calculated as follows
Now, substitute the known values
As both and are of same charge this force move the charged away and its direction is shown in below figure.
The force exerted by the charge on can be calculated as follows
Now, substitute the known values
Here the negative sign indicates that the force attractive in nature and its direction is shown in above figure.
The net force on charge due to other two charge can be calculated as follows
As both the foces are in same direction we can simply add them
Net force direction is shown in above figure
let us replace the charge with a test charge
The electric field due to the charge on the test charge is
The direction of this field is shown in below figure
Now, we will calculate the field due to the charge on the test charge is
The direction of this field is shown in below figure
Therefore, the net field on the test charge is
The direction of the net field is shown in the above figure
Three charges are located along y-axis with first -77 C charge at origin, second -100 C...
Three charges are located along y-axis with first -50 C charge at origin, second -100 C charge 2m above origin and third +50 C charge 3m below origin. (a) What is the magnitude and direction of force exerted by second charge on first charge, (b) what is the magnitude and direction of force exerted by third charge on first charge, (c) What is the net force on first charge? (d) If the third charge is replaced by an imaginary test...
Problem 1 Charge Configuration Three charges are configured as shown. A 3.0 nC charge is located at the origin. A -5.0 nC charge is located at a point on the y axis 0.1 m from the origin. The third charge of 4 nC is located on the x axis at a distance of 0.3 m from the origin. a) What is the magnitude and direction of the electric field at the origin? b) What is the magnitude and direction of the force on...
Please show all work:) (a) Three point charges are placed along the y-axis, with charge ql -3 HC charge at (0,0,0) m, q2 --4-uC at (0,-4,0) m, and q3 -2 uC at (0,3,0) m. What is the net electrostatic force on q3? Answer:0.0045N0) (b) Two point charges are placed along the x-axis, with charge q 3 nC charge at (50,0,0) cm, and q2--4-nC at (0,0,0) cm. At what location along the x-axis, other than infinity, can another charge q3-2 nC...
Two point charges are located on the y-axis as follows: one charge q1 = -1.50 nC located at y= -0.560 m, and a second charge q2 = 3.60 nC at the origin (y=0). What is the magnitude of the total force exerted by these two charges on a third charge q3 = 4.85 nC located at y3 = -0.440 m? What is the direction of the total force?
a) A 3.0 nC charge is located at (0,0). A second charge of 2.0 nC is located at x = 5.0 m. At a point P on the y-axis determine the electric potential due to the other two charges. You are free to choose the location of this point along the y-axis. b) How much work is required to bring a third charge from infinity to this point P? You are free to choose the value of this third charge....
Two point charges are placed on the x-axis as follows: Charge q1= 3.90 nC is located at x = 0.225m, and charge q2=4.75 nC is at x=-0.295 m. (a) What are the magnitude and direction of the net electric field exerted by these two charges on the origin? (b) What is the voltage (electrostatic potential) at the origin? (c) What is the magnitude and direction of the electrostatic force that acts on a negative point charge q3= -0.610 nC placed...
Two point charges are located on the y axis as follows: charge q1 = -1.60 nC at y1 = -0.500 m , and charge q2 = 1.60 nC at the origin (y = 0). A) What is the magnitude of the net force exerted by these two charges on a third charge q3 = 9.00 nC located at y3 = -0.350 m? Fnet= ____ N B) What is the direction of the net force?
2. A charge 20 is located at the origin while a second charge -Qis located at x 3 cm. Where should a third charge tq be placed so that the net force on this third charge is zero? Start witha diagram, and you may wish to consult your lecture notes. You should be able to determine a single numerical value for x Two point charges are placed at the vertices of an equilateral triangle as shown. a. Find the net...
Question 2 (20 points) a) A 3.0 nC charge is located at (0,0). A second charge of 2.0 nC is located at x = 5.0 m. At a point P on the y-axis determine the electric potential due to the other two charges. You are free to choose the location of this point along the y-axis. b) How much work is required to bring a third charge from infinity to this point P? You are free to choose the value...
A charge is located at the origin, another charge is located somewhere on the +y axis, another charge is located somewhere on the -y axis, and a fourth is located somewhere on the +x axis. The angle of the total electric force on the charge at the origin is 27 degrees counter-clockwise from the +x axis. Then, the charge at the origin changes sign and its magnitude (absolute value of its charge) increases by a factor of 3.7. All other...